Preface
I. Prerequisites
1. Introduction to Prerequisites
2. Real Numbers: Algebra Essentials
3. Exponents and Scientific Notation
4. Radicals and Rational Exponents
5. Polynomials
6. Factoring Polynomials
7. Rational Expressions
II. Equations and Inequalities
8. Introduction to Equations and Inequalities
9. The Rectangular Coordinate Systems and Graphs
10. Linear Equations in One Variable
11. Models and Applications
12. Complex Numbers
13. Quadratic Equations
14. Other Types of Equations
15. Linear Inequalities and Absolute Value Inequalities
III. Functions
16. Introduction to Functions
17. Functions and Function Notation
18. Domain and Range
19. Rates of Change and Behavior of Graphs
20. Composition of Functions
21. Transformation of Functions
22. Absolute Value Functions
23. Inverse Functions
IV. Linear Functions
24. Introduction to Linear Functions
25. Linear Functions
26. Modeling with Linear Functions
27. Fitting Linear Models to Data
V. Polynomial and Rational Functions
28. Introduction to Polynomial and Rational Functions
29. Quadratic Functions
30. Power Functions and Polynomial Functions
31. Graphs of Polynomial Functions
32. Dividing Polynomials
33. Zeros of Polynomial Functions
34. Rational Functions
35. Inverses and Radical Functions
36. Modeling Using Variation
VI. Exponential and Logarithmic Functions
37. Introduction to Exponential and Logarithmic Functions
38. Exponential Functions
39. Graphs of Exponential Functions
40. Logarithmic Functions
41. Graphs of Logarithmic Functions
42. Logarithmic Properties
43. Exponential and Logarithmic Equations
44. Exponential and Logarithmic Models
45. Fitting Exponential Models to Data
VII. The Unit Circle: Sine and Cosine Functions
46. Introduction to The Unit Circle: Sine and Cosine Functions
47. Angles
48. Right Triangle Trigonometry
49. Unit Circle
50. The Other Trigonometric Functions
VIII. Periodic Functions
51. Introduction to Periodic Functions
52. Graphs of the Sine and Cosine Functions
53. Graphs of the Other Trigonometric Functions
54. Inverse Trigonometric Functions
IX. Trigonometric Identities and Equations
55. Introduction to Trigonometric Identities and Equations
56. Solving Trigonometric Equations with Identities
57. Sum and Difference Identities
58. Double-Angle, Half-Angle, and Reduction Formulas
59. Sum-to-Product and Product-to-Sum Formulas
60. Solving Trigonometric Equations
X. Further Applications of Trigonometry
61. Introduction to Further Applications of Trigonometry
62. Non-right Triangles: Law of Sines
63. Non-right Triangles: Law of Cosines
64. Polar Coordinates
65. Polar Coordinates: Graphs
66. Polar Form of Complex Numbers
67. Parametric Equations
68. Parametric Equations: Graphs
69. Vectors
XI. Systems of Equations and Inequalities
70. Introduction to Systems of Equations and Inequalities
71. Systems of Linear Equations: Two Variables
72. Systems of Linear Equations: Three Variables
73. Systems of Nonlinear Equations and Inequalities: Two Variables
74. Partial Fractions
75. Matrices and Matrix Operations
76. Solving Systems with Gaussian Elimination
77. Solving Systems with Inverses
78. Solving Systems with Cramer's Rule
XII. Analytic Geometry
79. Introduction to Analytic Geometry
80. The Ellipse
81. The Hyperbola
82. The Parabola
83. Rotation of Axes
84. Conic Sections in Polar Coordinates
XIII. Sequences, Probability, and Counting Theory
85. Introduction to Sequences, Probability and Counting Theory
86. Sequences and Their Notations
87. Arithmetic Sequences
88. Geometric Sequences
89. Series and Their Notations
90. Counting Principles
91. Binomial Theorem
92. Probability
Appendix
Proofs, Identities, and Toolkit Functions
This is where you can add appendices or other back matter.
PPSC MAT 1420: Algebra and Trigonometry by OpenStax is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.